Force-coupling method for flows with ellipsoidal particles

Authors:
D. Liu;E. E. Keaveny;M. R. Maxey;G. E. Karniadakis
Affiliations:
Department of Mathematics and Statistics, Louisiana Tech University, Ruston, LA 71272, United States;Division of Applied Mathematics, Brown University, Providence, RI 02912, United States;Division of Applied Mathematics, Brown University, Providence, RI 02912, United States;Division of Applied Mathematics, Brown University, Providence, RI 02912, United States
Venue:
Journal of Computational Physics
Year:
2009

Citing 12
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Computer simulation of liquids

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Abstract

The force-coupling method, previously developed for spherical particles suspended in a liquid flow, is extended to ellipsoidal particles. In the limit of Stokes flow, there is an exact correspondence with known analytical results for isolated particles. More generally, the method is shown to provide good approximate results for the particle motion and the flow field both in viscous Stokes flow and at finite Reynolds number. This is demonstrated through comparison between fully resolved direct numerical simulations and results from the numerical implementation of the force-coupling method with a spectral/hp element scheme. The motion of settling ellipsoidal particles and neutrally buoyant particles in a Poiseuille flow are discussed.